# Health Data Set

import pandas as pd

print(health_data.to_string())

```   Duration  Average_Pulse  Max_Pulse  Calorie_Burnage  Hours_Work  Hours_Sleep
0        30             80        120              240          10            7
1        30             85        120              250          10            7
2        45             90        130              260           8            7
3        45             95        130              270           8            7
4        45            100        140              280           0            7
5        60            105        140              290           7            8
6        60            110        145              300           7            8
7        60            115        145              310           8            8
8        75            120        150              320           0            8
9        75            125        150              330           8            8```

Plot the Existing Data in Python
Now, we can first plot the values of Average_Pulse against Calorie_Burnage using the matplotlib library.

The plot() function is used to make a 2D hexagonal binning plot of points x,y:

import sys
import matplotlib
%matplotlib inline

import pandas as pd
import matplotlib.pyplot as plt

health_data.plot(x =’Average_Pulse’, y=’Calorie_Burnage’, kind=’line’),
plt.ylim(ymin=0)
plt.xlim(xmin=0)

plt.show()

Example Explained
Import the pyplot module of the matplotlib library
Plot the data from Average_Pulse against Calorie_Burnage
kind=’line’ tells us which type of plot we want. Here, we want to have a straight line
plt.ylim() and plt.xlim() tells us what value we want the axis to start on. Here, we want the axis to begin from zero
plt.show() shows us the output

The Graph Output
As we can see, there is a relationship between Average_Pulse and Calorie_Burnage.
Calorie_Burnage increases proportionally with Average_Pulse.
It means that we can use Average_Pulse to predict Calorie_Burnage.

Why is The Line Not Fully Drawn Down to The y-axis?
The reason is that we do not have observations where Average_Pulse or Calorie_Burnage are equal to zero.
80 is the first observation
of Average_Pulse and 240 is the first observation of Calorie_Burnage.

We can use the diagonal line to find the mathematical function to predict calorie burnage.

As it turns out:

If the average pulse is 80, the calorie burnage is 240
If the average pulse is 90, the calorie burnage is 260
If the average pulse is 100, the calorie burnage is 280
There is a pattern. If average pulse increases by 10, the calorie burnage increases by 20.